Using the distributive property of a Hadamard product [1]}, we develop the equation (REF ) further:
\(\begin{split}W = & \left( \alpha + \delta \right) \cdot \Big (\left( u \cdot \tilde{d}^{T}\right) \circ \left( \tilde{d} \cdot u^{T}\right) \circ A\circ \left( A^{2} + A\right) \Big ) -\\& \frac{1}{2}\delta \Big (A\circ \left( u \cdot \tilde{d}^{T}\right) \circ \left( \tilde{d} \cdot u^{T}\right) \circ \left( u\cdot d^{T}\right) \Big ) -\\& \frac{1}{2}\delta \Big (A\circ \left( u \cdot \tilde{d}^{T}\right) \circ \left( \tilde{d} \cdot u^{T}\right) \circ \left( d\cdot u^{T}\right) \Big ).\end{split}\) 
